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Finding the Fourth Proportional to 442,857.60, 664,286.40 and 307,044.90

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Solution

The fourth proportional to 442,857.60, 664,286.40 and 307,044.90 is: 460,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,857.60 : 664,286.40 = 307,044.90 : x
  2. Step 2: Convert to fraction form
    442,857.60/664,286.40 = 307,044.90/x
  3. Step 3: Cross multiply
    442,857.60x = 664,286.40 × 307,044.90
  4. Step 4: Simplify right side
    442,857.60x = 203,965,751,259.36
  5. Step 5: Solve for x
    x = 203,965,751,259.36/442,857.60
  6. Step 6: Final answer
    x = 460,567.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.